Question

Verify that at a÷(b+c) not equal to (a÷b)+(a÷c)

a=2, b=3 c= -2
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Answer 1

Answer:

given a= 2, b=3, c=-2

to proof : a÷ (b+c) not equal to (a÷b) + (a÷c)

solution: LHS= 2÷(3+(-2))

LHS=2÷(3-2)

LHS=2÷1=2

taking RHS= 2÷3+2÷ -2= -1/3

hence LHS is not equal to RHS

hence proved

hope it helps u

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Answer 2

Given:

• a = 2
• b = 3
• c = -2

Need to verify:

• a ÷ (b + c) ≠ (a ÷ b) + (a ÷ c)

Substitute the values:

⟹ 2 ÷ {3 + (-2)} ≟ (2 ÷ 3) + {(2 ÷ (-2)}

⟹ 2 ÷ ( 3 - 2 ) ≟ (2/3) + ( - 1 )

⟹ 2 ÷ ( 1 ) ≟ ( 2/3 ) - 1

⟹ 2/1 ≟ (2/3) - (3/3)

⟹ 2 ≟ -1/3

⟹ 2 ≠ -1/3

LHS ≠ RHS, so they are not equal.

Hence verified.

More:

Distributive property:

For numbers a, b and c ( where a, b and c are real numbers )

a( b + c ) = a×b + a×c

a( b - c ) = a×b - a×c

But this thing isn't true if we replace multiplication by division i.e.

a÷( b + c ) ≠ a ÷ b + a ÷ c